6960510485280 has 576 divisors, whose sum is σ = 28048945680000. Its totient is φ = 1598582200320.

The previous prime is 6960510485273. The next prime is 6960510485293. The reversal of 6960510485280 is 825840150696.

6960510485280 is a `hidden beast` number, since 6 + 9 + 6 + 0 + 5 + 104 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16951846 + ... + 17357594.

It is an arithmetic number, because the mean of its divisors is an integer number (48696086250).

Almost surely, 2^{6960510485280} is an apocalyptic number.

6960510485280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6960510485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14024472840000).

6960510485280 is an abundant number, since it is smaller than the sum of its proper divisors (21088435194720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6960510485280 is a wasteful number, since it uses less digits than its factorization.

6960510485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405822 (or 405789 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6960510485280 in words is "six trillion, nine hundred sixty billion, five hundred ten million, four hundred eighty-five thousand, two hundred eighty".